Changing Behavior of Open Graphs
Task 1
Task 2
What does it mean for a graph to be increasing over an interval? Decreasing? Constant?
Task 3
What can a graph look like when it is ONLY increasing? Decreasing? Constant?
Task 4
Is it possible for a graph to be both increasing and decreasing?
Task 5
Is it possible for a graph to be neither increasing nor decreasing?
Task 6
Can two intervals of a graph look different and yet both be increasing?
Task 7
What happens when two adjacent intervals of the graph exhibit the same behavior?
Task 8
Move the points so that part of the graph looks like a quadratic function. Over what intervals is it increasing, decreasing, or constant?
Task 9
Could the graph of an exponential function (like ) have intervals that are increasing, decreasing, or constant?
Task 10
How does the behavior of a quadratic function compare to the behavior of an exponential function?
Task 11
Can a function be increasing, decreasing or constant at a single point? Why or why not?